New N = 1 dualities from orientifold transitions Part I: field theory

A bstract We report on a broad new class of N = 1 gauge theory dualities which relatethe worldvolume gauge theories of D3 branes probing different orientifolds of the sameCalabi-Yau singularity. In this paper, we focus on the simplest example of these newdualities, arising from the orbifold singularity C³/Z₃ . We present extensive checks of theduality, including anomaly matching, partial moduli space matching, matching of discretesymmetries, and matching of the superconformal indices between the proposed duals. Wethen present a related duality for the dP 1 singularity, as well as dualities for the F₀ and Y 4,0 singularities, illustrating the breadth of this new class of dualities. In a companion paper, we show that certain infinite classes of geometries which include C³/Z₃ and dP 1 all exhibit such dualities, and argue that their ten-dimensional origin is the SL(2 , Z ) self-duality oftype IIB string theory.